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Finding the Fourth Proportional to 100,270.94, 138,344.22 and 57,249

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Solution

The fourth proportional to 100,270.94, 138,344.22 and 57,249 is: 78,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270.94 : 138,344.22 = 57,249 : x
  2. Step 2: Convert to fraction form
    100,270.94/138,344.22 = 57,249/x
  3. Step 3: Cross multiply
    100,270.94x = 138,344.22 × 57,249
  4. Step 4: Simplify right side
    100,270.94x = 7,920,068,250.78
  5. Step 5: Solve for x
    x = 7,920,068,250.78/100,270.94
  6. Step 6: Final answer
    x = 78,986.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.